Determine the image of the point (5, -2) under a rotation of 90 degrees about the origin. a.) (2, 5) b.) (-2, 5) c.) (-5, 2) d.) (-5, -2)

90 degrees means 90 degrees counterclockwise.   So from the fourth quadrant we'll end up in the first quadrant.  X and Y get swapped and one negated, it must be the -2 becoming 2, so our image is

(2,5)

A

1/5

Step-by-step explanation:

Of the 5 spinner sections, 2 are less than 3.

P(less than 3) = 2/5

Of the 2 sides of the coin, 1 is tails.

P(tails) = 1/2

The compound probability is therefore:

P = 2/5 × 1/2

P = 1/5